Which of the following is not true-A kite is not a parallelogram-All rectangles are squares-A parallelogram is a quadrilateral-Square- rectangle and rhombus are all parallelograms-

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Byju's Answer

Standard IX

Mathematics

Venn Diagram for Different Types of Quadrilaterals

Which of the ...

Question

Which of the following is not true?

A kite is not a parallelogram.

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A parallelogram is a quadrilateral.

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Square, rectangle and rhombus are all parallelograms.

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All rectangles are squares.

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Solution

The correct option is D All rectangles are squares.
Kite is not a parallelogram since, the opposite sides are not parallel.

A parallelogram is a 4 sides closed polygon. Hence it is a quadrilateral.

Square, rectangle and rhombus are quadrilaterals with opposite sides parallel and equal. Hence, they are parallelograms.

Rectangles are parallelograms with opposite sides equal, where as squares are parallelograms with all the sides equal. So, all rectangles are not squares.

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Similar questions

Q. Which of the following statements are true and which are false?
(i) The diagonals of a parallelogram are equal.
(ii) The diagonals of a rectangle are perpendicular to each other.
(iii) The diagonals of a rhombus are equal.
(iv) Every rhombus is a kite.
(v) Every rectangle is a square.
(vi) Every square is a a parallelogram.
(vii) Every square is a rhombus.
(viii) Every rectangle is a parallelogram.
(ix) Every parallelogram is a rectangle.
(x) Every rhombus is a parallelogram.

Give reason why square, rectangle, parallelogram, rhombus are all quadrilateral ?

Q. Which of the quadrilaterals mentioned in brackets have the following properties?

(1) Diagonals are congruent. (square, rectangle, rhombus)
(2) The longer diagonal is the perpendicular bisector of the shorter and the shorter of the longer. (trapezium, kite, rhombus)
(3) All sides and angles are congruent. (rhombus, square, rectangle)
(4) Opposite angles are congruent. (kite, parallelogram, rectangle)
(5) Opposite sides are congruent. (trapezium, rectangle, parallelogram)
(6) Diagonals bisect each other at right angles. (square, rectangle, rhombus)
(7) Diagonals bisect each another. (rectangle, parallelogram, kite)
(8) One pair of opposite sides is parallel. (kite rhombus trapezium)

State whether True or False.

(a) All rectangles are squares.

(b) All rhombuses are parallelograms.

(d) All squares are not parallelograms.

(e) All kites are rhombuses.

(f) All rhombuses are kites.

(g) All parallelograms are trapeziums.

(h) All squares are trapeziums.

Find which of the following are true:

1.All rhombuses are squares
2.All squares are rectangles
3.All rectangles are parallelograms
4.All parallelograms are quadrilaterals
5.All parallelograms are rhombuses

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